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Finding the Fourth Proportional to 5,464.94, 7,541.64 and 3,107.16

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Solution

The fourth proportional to 5,464.94, 7,541.64 and 3,107.16 is: 4,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.94 : 7,541.64 = 3,107.16 : x
  2. Step 2: Convert to fraction form
    5,464.94/7,541.64 = 3,107.16/x
  3. Step 3: Cross multiply
    5,464.94x = 7,541.64 × 3,107.16
  4. Step 4: Simplify right side
    5,464.94x = 23,433,082.14
  5. Step 5: Solve for x
    x = 23,433,082.14/5,464.94
  6. Step 6: Final answer
    x = 4,287.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.